E] W06.nb
Solutions to Exam 1 - Winter, 2006
Problem 1 Part a. The slope of the tangent line L is m = f '(xo). It passes through (x0, yo) = (x0, f (x0). So the
equation of L is y yo = In (X - x0). It meets the x axis at the point (x, y) = (x1, 0), Plugg
MATH 582, INTRODUCTION TO SET THEORY, WINTER 1999
Answers to the Second Midterm
# !
)
!
"! (!
(
10
'&#%
$ !
Problem 2
is non-empty. By regularity,
(because is transitive), but
. By hypothesis, we have
,
Problem 1 For the sake of a contradic
MATH 582, INTRODUCTION TO SET THEORY, WINTER 1999
Problem Set 10 The Relative Independence of the Regularity Axiom
In this homework, we will show that the regularity axiom does not follow from the other axioms of set theory. Let
ZFC be Zermelo-Fraenkel se
MATH 582, INTRODUCTION TO SET THEORY, WINTER 1999
Answers to the Final Exam
h
Q
h T
Q %z
Uz
6
z |
h z h gQz
h z
h z|
6
~Uz
h 6
~ |
h Q z h cfw_z h 7z
6
T
6
h
h |
h
ym k p p p p p Bm 9 k
lsrih qo qo xwqo q Bo qo x9 'gFvgrljih
ut t k po m k
C lsri